19919265600 has 672 divisors, whose sum is σ = 75718903680. Its totient is φ = 4543119360.

The previous prime is 19919265599. The next prime is 19919265617. The reversal of 19919265600 is 656291991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19919265600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62836642 + ... + 62836958.

It is an arithmetic number, because the mean of its divisors is an integer number (112676940).

Almost surely, 2^19919265600 is an apocalyptic number.

19919265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19919265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37859451840).

19919265600 is an abundant number, since it is smaller than the sum of its proper divisors (55799638080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19919265600 is a wasteful number, since it uses less digits than its factorization.

19919265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The spelling of 19919265600 in words is "nineteen billion, nine hundred nineteen million, two hundred sixty-five thousand, six hundred".